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Finding the Third Proportional to 492,804 and 704,214

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Solution

The third proportional to 492,804 and 704,214 is: 1,006,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804 : 704,214 = 704,214 : x
  2. Step 2: Convert to fraction form
    492,804/704,214 = 704,214/x
  3. Step 3: Cross multiply
    492,804x = 704,214 × 704,214
  4. Step 4: Simplify right side
    492,804x = 495,917,357,796
  5. Step 5: Solve for x
    x = 495,917,357,796/492,804
  6. Step 6: Final answer
    x = 1,006,317.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.